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Finding the Fourth Proportional to 85,138.70, 117,490.01 and 46,901.88

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Solution

The fourth proportional to 85,138.70, 117,490.01 and 46,901.88 is: 64,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138.70 : 117,490.01 = 46,901.88 : x
  2. Step 2: Convert to fraction form
    85,138.70/117,490.01 = 46,901.88/x
  3. Step 3: Cross multiply
    85,138.70x = 117,490.01 × 46,901.88
  4. Step 4: Simplify right side
    85,138.70x = 5,510,502,115.71
  5. Step 5: Solve for x
    x = 5,510,502,115.71/85,138.70
  6. Step 6: Final answer
    x = 64,723.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.